Question

Write an equation and solve to find the numbers and show work.
9. Doubling the difference between a number and 4 is 6 more than the number.

Answer 1

Let's call the number we're trying to find "x".

The difference between "x" and 4 is "x - 4".

We're told to double that difference:

2(x-4)

And we're told that this equals 6 more than the original number "x":

2(x-4) = x + 6

Now we need to solve for "x".

First, distribute the 2 on the left side of the equation:

2x - 8 = x + 6

Then, subtract "x" from both sides of the equation:

x - 8 = 6

Add 8 to both sides:

x = 14

Therefore, the number we are looking for is 14.